434220018408000 has 5376 divisors, whose sum is σ = 1959560026324992. Its totient is φ = 93939056640000.

The previous prime is 434220018407971. The next prime is 434220018408019. The reversal of 434220018408000 is 804810022434.

434220018408000 is a `hidden beast` number, since 4 + 3 + 42 + 200 + 1 + 8 + 408 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 597276503637 + ... + 597276504363.

It is an arithmetic number, because the mean of its divisors is an integer number (364501492992).

Almost surely, 2^{434220018408000} is an apocalyptic number.

434220018408000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434220018408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979780013162496).

434220018408000 is an abundant number, since it is smaller than the sum of its proper divisors (1525340007916992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434220018408000 is a wasteful number, since it uses less digits than its factorization.

434220018408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 434220018408000 in words is "four hundred thirty-four trillion, two hundred twenty billion, eighteen million, four hundred eight thousand".